The joint density function of X and Y is given by
(a) Compute the conditional mass function of X given Y = i, i = 1, 2.
(b) Are X and Y independent?
(c) Compute P{XY ≤ 3},P{X + Y > 2},P{X/Y > 1}.
f(x, y) = xe-x(y+1) x > 0, y > 0
(a) Find the conditional density of X, given Y = y,and that of Y, given X = x,
(b) Find the density function of Z = XY.
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